Sub-Elliptic Boundary Value Problems for Quasilinear Elliptic Operators
| dc.contributor.author | Palagachev, Dian K. | |
| dc.contributor.author | Popivanov, Peter R. | |
| dc.date.accessioned | 2018-08-28T15:29:16Z | |
| dc.date.available | 2018-08-28T15:29:16Z | |
| dc.date.issued | 1997-01-08 | |
| dc.description.abstract | Classical solvability and uniqueness in the Hölder space C2+α(Ω¯) is proved for the oblique derivative problem {αij(x) Diju + b(x, u, Du) = 0 in Ω, ∂u / ∂ℓ = φ(x) on ∂Ω in the case when the vector field ℓ(x) = (ℓ1(x),..., ℓn(x)) is tangential to the boundary ∂Ω at the points of some non-empty set S ⊂ ∂Ω, and the nonlinear term b(x, u, Du) grows quadratically with respect to the gradient Du. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Palagachev, D. K., & Popivanov, P. R. (1997). Sub-elliptic boundary value problems for quasilinear elliptic operators. </i>Electronic Journal of Differential Equations, 1997</i>(01), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7633 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Quasilinear elliptic operator | |
| dc.subject | Degenerate oblique derivative problem | |
| dc.subject | Sub-elliptic estimates | |
| dc.title | Sub-Elliptic Boundary Value Problems for Quasilinear Elliptic Operators | |
| dc.type | Article |